Finding the Third Proportional to 35,668 and 55,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,668 : 55,200.50 = 55,200.50 : x
2. Step 2: Convert to fraction form
   35,668/55,200.50 = 55,200.50/x
3. Step 3: Cross multiply
   35,668x = 55,200.50 × 55,200.50
4. Step 4: Simplify right side
   35,668x = 3,047,095,200.25
5. Step 5: Solve for x
   x = 3,047,095,200.25/35,668
6. Step 6: Final answer
   x = 85,429.38